I am not a real specialist in pcb manufacturing. But I think the thickness of traces is rather determined by the manufacturing process. Usually, boards have a very thin copper layer which is partially etched, and then additional copper is grown on the traces until their final thickness is reached. Usually all copper traces have same thickness. As far as I know, Ultiboard does not allow to change thickness of traces.
We once had contact to a manufacturer of special pcb boards who could manufacture boards with traces several mm thick, but this company does not exist anymore. I think it would be the best to look for a manufacturer of special technology pcb boards and ask them what they need to manufacture boards with different thickness of traces.